Aluminium crystallises in a cubic close packed structure. Is metallic radius is 125 pm. (i) What is the length of the side of the unit cell ? (ii) How many unit cells are there in 1-00 cm^3 of aluminium ?

Aluminium crystallises in a cubic close packed structure. Is metallic

1.	Aluminium crystallises in a cubic close packed structure. Is metallic radius is 125 pm. (i) What is the length of the side of the unit cell ? (ii) How many unit cells are there in 1-00 cm^3 of aluminium ?
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :(i)ccp=fcc. For fcc, `a=2sqrt2r`= 2 <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> 4.414 x <a href="https://interviewquestions.tuteehub.com/tag/125-271180" style="font-weight:bold;" target="_blank" title="Click to know more about 125">125</a> pm =354pm<br/> (ii)Volume of one unit cell =`(354xx10^(-<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>)cm)^3=4.44xx10^(-23) cm^3` <br/> Unit <a href="https://interviewquestions.tuteehub.com/tag/cells-25681" style="font-weight:bold;" target="_blank" title="Click to know more about CELLS">CELLS</a> in `1 cm^3 =1/(4.44xx10^(-23))=2.25xx10^22`</body></html>